What is the Greatest Common Factor of 35644 and 35663?

Greatest common factor (GCF) of 35644 and 35663 is 19.

GCF(35644,35663) = 19

We will now calculate the prime factors of 35644 and 35663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35644 and 35663.

How to find the GCF of 35644 and 35663?

We will first find the prime factorization of 35644 and 35663. After we will calculate the factors of 35644 and 35663 and find the biggest common factor number .

Step-1: Prime Factorization of 35644

Prime factors of 35644 are 2, 7, 19, 67. Prime factorization of 35644 in exponential form is:

35644 = 2² × 7¹ × 19¹ × 67¹

Step-2: Prime Factorization of 35663

Prime factors of 35663 are 19, 1877. Prime factorization of 35663 in exponential form is:

35663 = 19¹ × 1877¹

Step-3: Factors of 35644

List of positive integer factors of 35644 that divides 35644 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 67, 76, 133, 134, 266, 268, 469, 532, 938, 1273, 1876, 2546, 5092, 8911, 17822

Step-4: Factors of 35663

List of positive integer factors of 35663 that divides 35644 without a remainder.

1, 19, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35644 and 35663. The biggest common factor number is the GCF number.
So the greatest common factor 35644 and 35663 is 19.

Also check out the Least Common Multiple of 35644 and 35663